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Finding the Fourth Proportional to 14,258.16, 19,675.98 and 7,970.40

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Solution

The fourth proportional to 14,258.16, 19,675.98 and 7,970.40 is: 10,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.16 : 19,675.98 = 7,970.40 : x
  2. Step 2: Convert to fraction form
    14,258.16/19,675.98 = 7,970.40/x
  3. Step 3: Cross multiply
    14,258.16x = 19,675.98 × 7,970.40
  4. Step 4: Simplify right side
    14,258.16x = 156,825,430.99
  5. Step 5: Solve for x
    x = 156,825,430.99/14,258.16
  6. Step 6: Final answer
    x = 10,999.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.